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Finding the Fourth Proportional to 17,200.50, 25,801.97 and 6,812.25

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Solution

The fourth proportional to 17,200.50, 25,801.97 and 6,812.25 is: 10,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.50 : 25,801.97 = 6,812.25 : x
  2. Step 2: Convert to fraction form
    17,200.50/25,801.97 = 6,812.25/x
  3. Step 3: Cross multiply
    17,200.50x = 25,801.97 × 6,812.25
  4. Step 4: Simplify right side
    17,200.50x = 175,769,470.13
  5. Step 5: Solve for x
    x = 175,769,470.13/17,200.50
  6. Step 6: Final answer
    x = 10,218.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.